LCM of 543, 143, 704, 973, 753
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 143, 704, 973, 753 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 543, 143, 704, 973, 753. So, keep reading to learn more.
Given numbers are 543,143,704,973,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,143,704,973,753 is 1213674990528.
Find LCM of 543,143,704,973,753 with Prime Factorization
| 3 | 543, 143, 704, 973, 753 |
| 11 | 181, 143, 704, 973, 251 |
| 181, 13, 64, 973, 251 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 181 x 13 x 64 x 973 x 251 = 1213674990528
Therefore, the lowest common multiple of 543,143,704,973,753 is 1213674990528.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
543 x 143 x 704 x 973 x 753 = 40051274687424
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
543 : 1, 3, 181, 543
143 : 1, 11, 13, 143
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
973 : 1, 7, 139, 973
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,143,704,973,753, is 1.
Now, the common factors can be found like this.
543:3x 181
143:11x 13
704:2x 2x 2x 2x 2x 2x 11
973:7x 139
753:3x 251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11 = 33
Therefore, the value for common factors is 33.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 40051274687424/(1x33)
LCM = 40051274687424/33
LCM = 1213674990528
Thus, we can understand that the LCM of 543,143,704,973,753 is 1213674990528.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 543, 143, 704, 973, 753
1. What is the LCM of 543, 143, 704, 973, 753?
Answer: LCM of 543, 143, 704, 973, 753 is 1213674990528.
2. How to calculate the LCM of 543, 143, 704, 973, 753?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 543, 143, 704, 973, 753.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.